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# Writing Equations to Symbolize Conditions Worksheet

1. Sarah used a present card to purchase \$47 price of meals. She has \$18 left on her present card. Write an equation to signify this example.

2. The sum of a quantity f and 9 is equal to 38. Write an equation to signify this example.

3. Kim rented skates for h hours. The rental charge was \$2 per hour. She paid a complete of \$8. Write an equation to signify this example.

4. The denominator of a fraction exceeds the numerator by 5. If 3 be added to each, the fraction turns into 3/4. Write an equation to signify this example.

5. John is paid \$8 greater than the variety of baggage of peanuts he sells on the baseball stadium. The desk given under exhibits the connection between the cash John earns and the variety of baggage of peanuts John sells. Determine the unbiased and dependent variables, and write an equation to signify  this example. 6. A taxi expenses a flat charge of \$3, plus an extra \$1.50 per mile. Write an equation to signify this example. ## Solutions

Write a phrase equation primarily based on the state of affairs. Rewrite the equation utilizing a variable for the unknown amount and the given values for the recognized portions.

Let x be the quantity on the cardboard. Therefore, the equation “x – 47 = 18” represents the given state of affairs.

In Math, “sum” means, we have now so as to add.

From the knowledge “The sum of a quantity f and 9”, we have now

f + 9

Since, the sum of a quantity f and 9 is the same as 38, we have now

f + 9 = 38

Therefore, the equation “f + 9 = 38” represents the given state of affairs.

For every hour Kim rented skates, she has to pay \$2.

Since she rented skates for “h” hours, whole cash paid is the product of “h” and \$2.

That’s,

2h

However it’s on condition that she paid a complete of \$8.

Then, we have now

2h = 8

Therefore, the equation “2h = 8” represents the given state of affairs.

First assign variable for unknown amount.

Let “x” be the numerator.

The connection between the numerator and denominator is

“The denominator of a fraction exceeds the numerator by 5”

Then, we have now

x/(x + 5)

From the knowledge, “If 3 be added to each, the fraction turns into 3/4″, we have now

(x + 3)/(x + 5 + 3) = 3/4

(x + 3)/(x + 8) = 3/4

Therefore, the equation “(x + 3)/(x + 8) = 3/4″ represents the given state of affairs. The variety of baggage is the unbiased variable, and the cash John earns is the dependent variable.

Since “x” stands for variety of baggage and it’s on condition that he earns \$8 greater than variety of baggage (x), the cash earned by John is

x + 8

Since “y” stands for cash earned by John, we have now

y = x + 8

Therefore, the equation “y = x + 8” represents the given state of affairs.

Let “x” be the variety of miles and “y” be the whole fare for “x” variety of miles.

Since taxi, expenses \$1.50 per mile, fare for “x” variety of miles is

1.5x

Taxi expenses a flat charge of \$3. Then the whole fare is

1.5x + 3

Since  “y” stands for whole fare for “x” variety of miles, we have now

y = 1.5x + 3

Therefore, the equation “y = 1.5x + 3” represents the given state of affairs.

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